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Analysis of the ψ(3770) resonance in line with unitarity and analyticity constraints

We study the inclusive and exclusive cross sections of e + e - → hadrons for center-of-mass energies between 3.70 and 3.83 GeV to infer the mass, width, and couplings of the ψ ( 3770 ) resonance. By using a coupled-channel K -matrix approach, we setup our analysis to respect unitarity and the analyt...

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Published in:The European physical journal. C, Particles and fields Particles and fields, 2024-05, Vol.84 (5), p.483-12
Main Authors: Hanhart, Christoph, Kürten, Stephan, Reboud, Méril, van Dyk, Danny
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description We study the inclusive and exclusive cross sections of e + e - → hadrons for center-of-mass energies between 3.70 and 3.83 GeV to infer the mass, width, and couplings of the ψ ( 3770 ) resonance. By using a coupled-channel K -matrix approach, we setup our analysis to respect unitarity and the analyticity properties of the underlying scattering amplitudes. We fit several models to the full dataset and identify our nominal results through a statistical model comparison. We find that, accounting for the interplay between the ψ ( 2 S ) and the ψ ( 3770 ) , no further pole is required to describe the ψ ( 3770 ) line shape. In particular we derive from the pole location M ψ ( 3770 ) = 3778.8 ± 0.3 MeV and Γ ψ ( 3770 ) = 25.0 ± 0.5 MeV . Moreover, we find the decay to D + D - and D 0 D ¯ 0 to be consistent with isospin symmetry and derive an upper bound on the branching ratio B ( ψ ( 3770 ) → non- D D ¯ ) < 6 % at 90 % probability.
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subjects Astronomy
Astrophysics and Cosmology
Couplings
Elementary Particles
Hadrons
Heavy Ions
Line shape
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Particle physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Resonance
Statistical analysis
Statistical models
String Theory
Theoretical physics
Upper bounds
title Analysis of the ψ(3770) resonance in line with unitarity and analyticity constraints
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